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Table of Contents
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List of Illustrations
1 Chapter 3Figure 3.1. Graphical representation of a trajectory of a random walk between 0 ...Figure 3.2. Two paths from (1, 1) to (5, 3). For a color version of this figure,...Figure 3.3. A path from (0, 2) to (11, 1) passing through 0 (the unbroken blue l...
2 Chapter 8Figure 8.1. Possible trajectories for the random walk of four steps starting fro...Figure 8.2. Possible paths from (0, 0) to (3, 1). For a color version of this fi...Figure 8.3. Event tree for the financial market in Exercise 5.1Figure 8.4. Event tree for the financial market in Exercise 5.3Figure 8.5. Trajectories of the risky asset for the Cox, Ross and Rubinstein mod...Figure 8.6. Trajectories of the risky asset (blue) and the risk-free asset (gray...Figure 8.7. Trajectory of the logarithm of the wealth for the optimal strategy (...Figure 8.8. Trajectories of the expectation of the logarithm of the wealth for t...Figure 8.9. Trajectories of the wealth for the investment-withdrawal strategy in...Figure 8.10. Trajectories of the wealth for the investment-withdrawal strategy i...Figure 8.11. Trajectories of the logarithm of the cumulative withdrawal for the ...Figure 8.12. Trajectories of the expectation of the cumulative sum of the logari...Figure 8.13. Trajectories of the risky asset (blue) and the value of the Europea...Figure 8.14. Trajectories of the payoff for the American option with maturity da...Figure 8.15. Trajectories for the payoff (red) and for the value (blue) of an Am...